This survey of both discrete and continuous mathematics focuses on the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics, rather than on rote symbolic manipulation. Coverage begins with the fundamentals of mathematical language and proof techniques (such as induction); then applies them to easily-understood questions in elementary number theory and counting; then develops additional techniques of proofs via fundamental topics in discrete and continuous mathematics. ...
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This survey of both discrete and continuous mathematics focuses on the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics, rather than on rote symbolic manipulation. Coverage begins with the fundamentals of mathematical language and proof techniques (such as induction); then applies them to easily-understood questions in elementary number theory and counting; then develops additional techniques of proofs via fundamental topics in discrete and continuous mathematics. Topics are addressed in the context of familiar objects; easily-understood, engaging examples; and over 700 stimulating exercises and problems, ranging from simple applications to subtle problems requiring ingenuity. ELEMENTARY CONCEPTS. Numbers, Sets and Functions. Language and Proofs. Properties of Functions. Induction. PROPERTIES OF NUMBERS. Counting and Cardinality. Divisibility. Modular Arithmetic. The Rational Numbers. DISCRETE MATHEMATICS. Combinatorial Reasoning. Two Principles of Counting. Graph Theory. Recurrence Relations. CONTINUOUS MATHEMATICS. The Real Numbers. Sequences and Series. Continuity. Differentiation. Integration. The Complex Numbers. For anyone interested in learning how to understand and write mathematical proofs, or a reference for college professors and high school teachers of mathematics.
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Add this copy of Mathematical Thinking: Problem-Solving and Proofs (2nd to cart. $9.35, fair condition, Sold by ThriftBooks-Reno rated 5.0 out of 5 stars, ships from Reno, NV, UNITED STATES, published 1999 by Pearson.
Add this copy of Mathematical Thinking: Problem-Solving and Proofs (2nd to cart. $9.35, fair condition, Sold by ThriftBooks-Baltimore rated 5.0 out of 5 stars, ships from Halethorpe, MD, UNITED STATES, published 1999 by Pearson.
Add this copy of Mathematical Thinking: Problem-Solving and Proofs (2nd to cart. $13.12, fair condition, Sold by A_TeamBooks rated 4.0 out of 5 stars, ships from Conway, AR, UNITED STATES, published 1999 by Pearson.
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Add this copy of Mathematical Thinking: Problem Solving and Proofs to cart. $17.40, very good condition, Sold by quasifibration rated 4.0 out of 5 stars, ships from Toronto, ON, CANADA, published by Prentice Hall.
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Very Good. Upper Saddle River, NJ: Prentice Hall, 2000. Very Good. Upper Saddle River, NJ: Prentice Hall, 2000. Hard cover. 4. Very good. No dust jacket. Sewn binding. Cloth over boards. 365 p. Audience: General/trade. ORIGINAL first hardcover edition; has some shelf wear; corners bumped/frayed; otherwise a tight bright unmarked copy in very good shape overall; pages unmarked.
Add this copy of Mathematical Thinking: Problem-Solving and Proofs to cart. $17.78, very good condition, Sold by Books From California rated 4.0 out of 5 stars, ships from Simi Valley, CA, UNITED STATES, published 1996 by Prentice Hall.
Add this copy of Mathematical Thinking: Problem-Solving and Proofs to cart. $24.30, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1999 by Pearson.
Add this copy of Mathematical Thinking: Problem-Solving and Proofs to cart. $36.52, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1996 by Prentice Hall.
This book is very bad if you're trying to learn mathematical proofs for the first time. The material doesn't even help you solve the problems at the end of each chapter.
